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Finding the Third Proportional to 530,920 and 1,146,363

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Solution

The third proportional to 530,920 and 1,146,363 is: 2,475,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,920 : 1,146,363 = 1,146,363 : x
  2. Step 2: Convert to fraction form
    530,920/1,146,363 = 1,146,363/x
  3. Step 3: Cross multiply
    530,920x = 1,146,363 × 1,146,363
  4. Step 4: Simplify right side
    530,920x = 1,314,148,127,769
  5. Step 5: Solve for x
    x = 1,314,148,127,769/530,920
  6. Step 6: Final answer
    x = 2,475,228.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.