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Finding the Third Proportional to 1,052,929.13 and 1,695,547.69

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Solution

The third proportional to 1,052,929.13 and 1,695,547.69 is: 2,730,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,929.13 : 1,695,547.69 = 1,695,547.69 : x
  2. Step 2: Convert to fraction form
    1,052,929.13/1,695,547.69 = 1,695,547.69/x
  3. Step 3: Cross multiply
    1,052,929.13x = 1,695,547.69 × 1,695,547.69
  4. Step 4: Simplify right side
    1,052,929.13x = 2,874,881,960,586.60
  5. Step 5: Solve for x
    x = 2,874,881,960,586.60/1,052,929.13
  6. Step 6: Final answer
    x = 2,730,366.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.