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Finding the Third Proportional to 748,988 and 1,602,952

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Solution

The third proportional to 748,988 and 1,602,952 is: 3,430,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,988 : 1,602,952 = 1,602,952 : x
  2. Step 2: Convert to fraction form
    748,988/1,602,952 = 1,602,952/x
  3. Step 3: Cross multiply
    748,988x = 1,602,952 × 1,602,952
  4. Step 4: Simplify right side
    748,988x = 2,569,455,114,304
  5. Step 5: Solve for x
    x = 2,569,455,114,304/748,988
  6. Step 6: Final answer
    x = 3,430,569.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.