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Finding the Third Proportional to 584,698,142 and 1,300,125,028

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Solution

The third proportional to 584,698,142 and 1,300,125,028 is: 2,890,936,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,698,142 : 1,300,125,028 = 1,300,125,028 : x
  2. Step 2: Convert to fraction form
    584,698,142/1,300,125,028 = 1,300,125,028/x
  3. Step 3: Cross multiply
    584,698,142x = 1,300,125,028 × 1,300,125,028
  4. Step 4: Simplify right side
    584,698,142x = 1,690,325,088,432,000,768
  5. Step 5: Solve for x
    x = 1,690,325,088,432,000,768/584,698,142
  6. Step 6: Final answer
    x = 2,890,936,308.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.