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Finding the Third Proportional to 497,581,932 and 1,079,742,768

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Solution

The third proportional to 497,581,932 and 1,079,742,768 is: 2,343,020,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,581,932 : 1,079,742,768 = 1,079,742,768 : x
  2. Step 2: Convert to fraction form
    497,581,932/1,079,742,768 = 1,079,742,768/x
  3. Step 3: Cross multiply
    497,581,932x = 1,079,742,768 × 1,079,742,768
  4. Step 4: Simplify right side
    497,581,932x = 1,165,844,445,048,301,824
  5. Step 5: Solve for x
    x = 1,165,844,445,048,301,824/497,581,932
  6. Step 6: Final answer
    x = 2,343,020,053.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.