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Finding the Third Proportional to 611,032.36 and 924,411.02

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Solution

The third proportional to 611,032.36 and 924,411.02 is: 1,398,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,032.36 : 924,411.02 = 924,411.02 : x
  2. Step 2: Convert to fraction form
    611,032.36/924,411.02 = 924,411.02/x
  3. Step 3: Cross multiply
    611,032.36x = 924,411.02 × 924,411.02
  4. Step 4: Simplify right side
    611,032.36x = 854,535,740,252.77
  5. Step 5: Solve for x
    x = 854,535,740,252.77/611,032.36
  6. Step 6: Final answer
    x = 1,398,511.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.