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Finding the Third Proportional to 713,683 and 1,569,313

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Solution

The third proportional to 713,683 and 1,569,313 is: 3,450,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,683 : 1,569,313 = 1,569,313 : x
  2. Step 2: Convert to fraction form
    713,683/1,569,313 = 1,569,313/x
  3. Step 3: Cross multiply
    713,683x = 1,569,313 × 1,569,313
  4. Step 4: Simplify right side
    713,683x = 2,462,743,291,969
  5. Step 5: Solve for x
    x = 2,462,743,291,969/713,683
  6. Step 6: Final answer
    x = 3,450,752.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.