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Finding the Third Proportional to 1,574,408 and 2,506,416

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Solution

The third proportional to 1,574,408 and 2,506,416 is: 3,990,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,408 : 2,506,416 = 2,506,416 : x
  2. Step 2: Convert to fraction form
    1,574,408/2,506,416 = 2,506,416/x
  3. Step 3: Cross multiply
    1,574,408x = 2,506,416 × 2,506,416
  4. Step 4: Simplify right side
    1,574,408x = 6,282,121,165,056
  5. Step 5: Solve for x
    x = 6,282,121,165,056/1,574,408
  6. Step 6: Final answer
    x = 3,990,148.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.