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Finding the Third Proportional to 479,924,974 and 716,742,554

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Solution

The third proportional to 479,924,974 and 716,742,554 is: 1,070,417,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,924,974 : 716,742,554 = 716,742,554 : x
  2. Step 2: Convert to fraction form
    479,924,974/716,742,554 = 716,742,554/x
  3. Step 3: Cross multiply
    479,924,974x = 716,742,554 × 716,742,554
  4. Step 4: Simplify right side
    479,924,974x = 513,719,888,714,442,944
  5. Step 5: Solve for x
    x = 513,719,888,714,442,944/479,924,974
  6. Step 6: Final answer
    x = 1,070,417,078.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.