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Finding the Third Proportional to 501,868,730 and 1,087,114,652

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Solution

The third proportional to 501,868,730 and 1,087,114,652 is: 2,354,835,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,868,730 : 1,087,114,652 = 1,087,114,652 : x
  2. Step 2: Convert to fraction form
    501,868,730/1,087,114,652 = 1,087,114,652/x
  3. Step 3: Cross multiply
    501,868,730x = 1,087,114,652 × 1,087,114,652
  4. Step 4: Simplify right side
    501,868,730x = 1,181,818,266,593,081,088
  5. Step 5: Solve for x
    x = 1,181,818,266,593,081,088/501,868,730
  6. Step 6: Final answer
    x = 2,354,835,429.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.