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Finding the Third Proportional to 575,784,704 and 1,243,316,704

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Solution

The third proportional to 575,784,704 and 1,243,316,704 is: 2,684,747,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,784,704 : 1,243,316,704 = 1,243,316,704 : x
  2. Step 2: Convert to fraction form
    575,784,704/1,243,316,704 = 1,243,316,704/x
  3. Step 3: Cross multiply
    575,784,704x = 1,243,316,704 × 1,243,316,704
  4. Step 4: Simplify right side
    575,784,704x = 1,545,836,426,445,423,616
  5. Step 5: Solve for x
    x = 1,545,836,426,445,423,616/575,784,704
  6. Step 6: Final answer
    x = 2,684,747,294.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.