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Finding the Third Proportional to 615,924 and 1,316,967.19

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Solution

The third proportional to 615,924 and 1,316,967.19 is: 2,815,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,924 : 1,316,967.19 = 1,316,967.19 : x
  2. Step 2: Convert to fraction form
    615,924/1,316,967.19 = 1,316,967.19/x
  3. Step 3: Cross multiply
    615,924x = 1,316,967.19 × 1,316,967.19
  4. Step 4: Simplify right side
    615,924x = 1,734,402,572,951.66
  5. Step 5: Solve for x
    x = 1,734,402,572,951.66/615,924
  6. Step 6: Final answer
    x = 2,815,936.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.