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Finding the Third Proportional to 713,142 and 1,585,730

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Solution

The third proportional to 713,142 and 1,585,730 is: 3,526,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,142 : 1,585,730 = 1,585,730 : x
  2. Step 2: Convert to fraction form
    713,142/1,585,730 = 1,585,730/x
  3. Step 3: Cross multiply
    713,142x = 1,585,730 × 1,585,730
  4. Step 4: Simplify right side
    713,142x = 2,514,539,632,900
  5. Step 5: Solve for x
    x = 2,514,539,632,900/713,142
  6. Step 6: Final answer
    x = 3,526,001.32

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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.