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Finding the Third Proportional to 713,706 and 1,569,356

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Solution

The third proportional to 713,706 and 1,569,356 is: 3,450,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,706 : 1,569,356 = 1,569,356 : x
  2. Step 2: Convert to fraction form
    713,706/1,569,356 = 1,569,356/x
  3. Step 3: Cross multiply
    713,706x = 1,569,356 × 1,569,356
  4. Step 4: Simplify right side
    713,706x = 2,462,878,254,736
  5. Step 5: Solve for x
    x = 2,462,878,254,736/713,706
  6. Step 6: Final answer
    x = 3,450,830.25

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Why These Related Problems?

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