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Finding the Third Proportional to 742,674 and 1,585,572

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Solution

The third proportional to 742,674 and 1,585,572 is: 3,385,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,674 : 1,585,572 = 1,585,572 : x
  2. Step 2: Convert to fraction form
    742,674/1,585,572 = 1,585,572/x
  3. Step 3: Cross multiply
    742,674x = 1,585,572 × 1,585,572
  4. Step 4: Simplify right side
    742,674x = 2,514,038,567,184
  5. Step 5: Solve for x
    x = 2,514,038,567,184/742,674
  6. Step 6: Final answer
    x = 3,385,117.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.