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Finding the Third Proportional to 502,930,946 and 1,099,358,500

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Solution

The third proportional to 502,930,946 and 1,099,358,500 is: 2,403,091,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,930,946 : 1,099,358,500 = 1,099,358,500 : x
  2. Step 2: Convert to fraction form
    502,930,946/1,099,358,500 = 1,099,358,500/x
  3. Step 3: Cross multiply
    502,930,946x = 1,099,358,500 × 1,099,358,500
  4. Step 4: Simplify right side
    502,930,946x = 1,208,589,111,522,249,984
  5. Step 5: Solve for x
    x = 1,208,589,111,522,249,984/502,930,946
  6. Step 6: Final answer
    x = 2,403,091,559.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.