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Finding the Third Proportional to 570,643 and 1,349,508

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Solution

The third proportional to 570,643 and 1,349,508 is: 3,191,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,643 : 1,349,508 = 1,349,508 : x
  2. Step 2: Convert to fraction form
    570,643/1,349,508 = 1,349,508/x
  3. Step 3: Cross multiply
    570,643x = 1,349,508 × 1,349,508
  4. Step 4: Simplify right side
    570,643x = 1,821,171,842,064
  5. Step 5: Solve for x
    x = 1,821,171,842,064/570,643
  6. Step 6: Final answer
    x = 3,191,438.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.