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Finding the Third Proportional to 761,425,305 and 1,027,341,516

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Solution

The third proportional to 761,425,305 and 1,027,341,516 is: 1,386,124,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,425,305 : 1,027,341,516 = 1,027,341,516 : x
  2. Step 2: Convert to fraction form
    761,425,305/1,027,341,516 = 1,027,341,516/x
  3. Step 3: Cross multiply
    761,425,305x = 1,027,341,516 × 1,027,341,516
  4. Step 4: Simplify right side
    761,425,305x = 1,055,430,590,497,178,240
  5. Step 5: Solve for x
    x = 1,055,430,590,497,178,240/761,425,305
  6. Step 6: Final answer
    x = 1,386,124,920.68

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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.