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Finding the Third Proportional to 621,681 and 912,123

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Solution

The third proportional to 621,681 and 912,123 is: 1,338,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,681 : 912,123 = 912,123 : x
  2. Step 2: Convert to fraction form
    621,681/912,123 = 912,123/x
  3. Step 3: Cross multiply
    621,681x = 912,123 × 912,123
  4. Step 4: Simplify right side
    621,681x = 831,968,367,129
  5. Step 5: Solve for x
    x = 831,968,367,129/621,681
  6. Step 6: Final answer
    x = 1,338,256.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.