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Finding the Third Proportional to 732,410 and 1,604,461

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Solution

The third proportional to 732,410 and 1,604,461 is: 3,514,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,410 : 1,604,461 = 1,604,461 : x
  2. Step 2: Convert to fraction form
    732,410/1,604,461 = 1,604,461/x
  3. Step 3: Cross multiply
    732,410x = 1,604,461 × 1,604,461
  4. Step 4: Simplify right side
    732,410x = 2,574,295,100,521
  5. Step 5: Solve for x
    x = 2,574,295,100,521/732,410
  6. Step 6: Final answer
    x = 3,514,827.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.