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Finding the Third Proportional to 912,008 and 1,403,724

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Solution

The third proportional to 912,008 and 1,403,724 is: 2,160,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,008 : 1,403,724 = 1,403,724 : x
  2. Step 2: Convert to fraction form
    912,008/1,403,724 = 1,403,724/x
  3. Step 3: Cross multiply
    912,008x = 1,403,724 × 1,403,724
  4. Step 4: Simplify right side
    912,008x = 1,970,441,068,176
  5. Step 5: Solve for x
    x = 1,970,441,068,176/912,008
  6. Step 6: Final answer
    x = 2,160,552.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.