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Finding the Third Proportional to 1,098,448,688 and 1,657,887,994

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Solution

The third proportional to 1,098,448,688 and 1,657,887,994 is: 2,502,249,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,448,688 : 1,657,887,994 = 1,657,887,994 : x
  2. Step 2: Convert to fraction form
    1,098,448,688/1,657,887,994 = 1,657,887,994/x
  3. Step 3: Cross multiply
    1,098,448,688x = 1,657,887,994 × 1,657,887,994
  4. Step 4: Simplify right side
    1,098,448,688x = 2,748,592,600,649,344,000
  5. Step 5: Solve for x
    x = 2,748,592,600,649,344,000/1,098,448,688
  6. Step 6: Final answer
    x = 2,502,249,427.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.