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Finding the Third Proportional to 909,738,976 and 1,300,038,060

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Solution

The third proportional to 909,738,976 and 1,300,038,060 is: 1,857,784,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,738,976 : 1,300,038,060 = 1,300,038,060 : x
  2. Step 2: Convert to fraction form
    909,738,976/1,300,038,060 = 1,300,038,060/x
  3. Step 3: Cross multiply
    909,738,976x = 1,300,038,060 × 1,300,038,060
  4. Step 4: Simplify right side
    909,738,976x = 1,690,098,957,448,563,712
  5. Step 5: Solve for x
    x = 1,690,098,957,448,563,712/909,738,976
  6. Step 6: Final answer
    x = 1,857,784,487.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.