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Finding the Third Proportional to 712,988 and 1,585,376

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Solution

The third proportional to 712,988 and 1,585,376 is: 3,525,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,988 : 1,585,376 = 1,585,376 : x
  2. Step 2: Convert to fraction form
    712,988/1,585,376 = 1,585,376/x
  3. Step 3: Cross multiply
    712,988x = 1,585,376 × 1,585,376
  4. Step 4: Simplify right side
    712,988x = 2,513,417,061,376
  5. Step 5: Solve for x
    x = 2,513,417,061,376/712,988
  6. Step 6: Final answer
    x = 3,525,188.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.