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Finding the Third Proportional to 632,547 and 1,361,808

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Solution

The third proportional to 632,547 and 1,361,808 is: 2,931,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,547 : 1,361,808 = 1,361,808 : x
  2. Step 2: Convert to fraction form
    632,547/1,361,808 = 1,361,808/x
  3. Step 3: Cross multiply
    632,547x = 1,361,808 × 1,361,808
  4. Step 4: Simplify right side
    632,547x = 1,854,521,028,864
  5. Step 5: Solve for x
    x = 1,854,521,028,864/632,547
  6. Step 6: Final answer
    x = 2,931,831.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.