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Finding the Third Proportional to 1,029,534 and 1,574,920

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Solution

The third proportional to 1,029,534 and 1,574,920 is: 2,409,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,534 : 1,574,920 = 1,574,920 : x
  2. Step 2: Convert to fraction form
    1,029,534/1,574,920 = 1,574,920/x
  3. Step 3: Cross multiply
    1,029,534x = 1,574,920 × 1,574,920
  4. Step 4: Simplify right side
    1,029,534x = 2,480,373,006,400
  5. Step 5: Solve for x
    x = 2,480,373,006,400/1,029,534
  6. Step 6: Final answer
    x = 2,409,219.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.