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Finding the Third Proportional to 1,139,705,733 and 1,702,849,545

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Solution

The third proportional to 1,139,705,733 and 1,702,849,545 is: 2,544,250,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139,705,733 : 1,702,849,545 = 1,702,849,545 : x
  2. Step 2: Convert to fraction form
    1,139,705,733/1,702,849,545 = 1,702,849,545/x
  3. Step 3: Cross multiply
    1,139,705,733x = 1,702,849,545 × 1,702,849,545
  4. Step 4: Simplify right side
    1,139,705,733x = 2,899,696,572,906,706,944
  5. Step 5: Solve for x
    x = 2,899,696,572,906,706,944/1,139,705,733
  6. Step 6: Final answer
    x = 2,544,250,229.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.