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Finding the Third Proportional to 527,748 and 1,029,090

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Solution

The third proportional to 527,748 and 1,029,090 is: 2,006,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,748 : 1,029,090 = 1,029,090 : x
  2. Step 2: Convert to fraction form
    527,748/1,029,090 = 1,029,090/x
  3. Step 3: Cross multiply
    527,748x = 1,029,090 × 1,029,090
  4. Step 4: Simplify right side
    527,748x = 1,059,026,228,100
  5. Step 5: Solve for x
    x = 1,059,026,228,100/527,748
  6. Step 6: Final answer
    x = 2,006,689.23

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.