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Finding the Third Proportional to 706,938,204 and 1,487,136,534

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Solution

The third proportional to 706,938,204 and 1,487,136,534 is: 3,128,385,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,938,204 : 1,487,136,534 = 1,487,136,534 : x
  2. Step 2: Convert to fraction form
    706,938,204/1,487,136,534 = 1,487,136,534/x
  3. Step 3: Cross multiply
    706,938,204x = 1,487,136,534 × 1,487,136,534
  4. Step 4: Simplify right side
    706,938,204x = 2,211,575,070,757,533,184
  5. Step 5: Solve for x
    x = 2,211,575,070,757,533,184/706,938,204
  6. Step 6: Final answer
    x = 3,128,385,279.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.