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Finding the Third Proportional to 909,695,487 and 1,397,403,551

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Solution

The third proportional to 909,695,487 and 1,397,403,551 is: 2,146,582,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,695,487 : 1,397,403,551 = 1,397,403,551 : x
  2. Step 2: Convert to fraction form
    909,695,487/1,397,403,551 = 1,397,403,551/x
  3. Step 3: Cross multiply
    909,695,487x = 1,397,403,551 × 1,397,403,551
  4. Step 4: Simplify right side
    909,695,487x = 1,952,736,684,347,409,664
  5. Step 5: Solve for x
    x = 1,952,736,684,347,409,664/909,695,487
  6. Step 6: Final answer
    x = 2,146,582,798.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.