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Finding the Third Proportional to 689,602,898 and 1,033,390,659

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Solution

The third proportional to 689,602,898 and 1,033,390,659 is: 1,548,566,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,602,898 : 1,033,390,659 = 1,033,390,659 : x
  2. Step 2: Convert to fraction form
    689,602,898/1,033,390,659 = 1,033,390,659/x
  3. Step 3: Cross multiply
    689,602,898x = 1,033,390,659 × 1,033,390,659
  4. Step 4: Simplify right side
    689,602,898x = 1,067,896,254,108,454,272
  5. Step 5: Solve for x
    x = 1,067,896,254,108,454,272/689,602,898
  6. Step 6: Final answer
    x = 1,548,566,946.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.