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Finding the Third Proportional to 5,744,982 and 8,506,547

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Solution

The third proportional to 5,744,982 and 8,506,547 is: 12,595,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744,982 : 8,506,547 = 8,506,547 : x
  2. Step 2: Convert to fraction form
    5,744,982/8,506,547 = 8,506,547/x
  3. Step 3: Cross multiply
    5,744,982x = 8,506,547 × 8,506,547
  4. Step 4: Simplify right side
    5,744,982x = 72,361,341,863,209
  5. Step 5: Solve for x
    x = 72,361,341,863,209/5,744,982
  6. Step 6: Final answer
    x = 12,595,573.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.