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Finding the Third Proportional to 1,025,354,592 and 1,588,695,768

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Solution

The third proportional to 1,025,354,592 and 1,588,695,768 is: 2,461,542,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,354,592 : 1,588,695,768 = 1,588,695,768 : x
  2. Step 2: Convert to fraction form
    1,025,354,592/1,588,695,768 = 1,588,695,768/x
  3. Step 3: Cross multiply
    1,025,354,592x = 1,588,695,768 × 1,588,695,768
  4. Step 4: Simplify right side
    1,025,354,592x = 2,523,954,243,261,109,760
  5. Step 5: Solve for x
    x = 2,523,954,243,261,109,760/1,025,354,592
  6. Step 6: Final answer
    x = 2,461,542,829.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.