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Finding the Third Proportional to 761,425,353 and 1,027,341,585

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Solution

The third proportional to 761,425,353 and 1,027,341,585 is: 1,386,125,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,425,353 : 1,027,341,585 = 1,027,341,585 : x
  2. Step 2: Convert to fraction form
    761,425,353/1,027,341,585 = 1,027,341,585/x
  3. Step 3: Cross multiply
    761,425,353x = 1,027,341,585 × 1,027,341,585
  4. Step 4: Simplify right side
    761,425,353x = 1,055,430,732,270,312,192
  5. Step 5: Solve for x
    x = 1,055,430,732,270,312,192/761,425,353
  6. Step 6: Final answer
    x = 1,386,125,019.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.