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Finding the Third Proportional to 736,426.13 and 1,142,948.25

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Solution

The third proportional to 736,426.13 and 1,142,948.25 is: 1,773,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,426.13 : 1,142,948.25 = 1,142,948.25 : x
  2. Step 2: Convert to fraction form
    736,426.13/1,142,948.25 = 1,142,948.25/x
  3. Step 3: Cross multiply
    736,426.13x = 1,142,948.25 × 1,142,948.25
  4. Step 4: Simplify right side
    736,426.13x = 1,306,330,702,178.06
  5. Step 5: Solve for x
    x = 1,306,330,702,178.06/736,426.13
  6. Step 6: Final answer
    x = 1,773,878.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.