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Finding the Third Proportional to 974,637 and 1,506,221

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Solution

The third proportional to 974,637 and 1,506,221 is: 2,327,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,637 : 1,506,221 = 1,506,221 : x
  2. Step 2: Convert to fraction form
    974,637/1,506,221 = 1,506,221/x
  3. Step 3: Cross multiply
    974,637x = 1,506,221 × 1,506,221
  4. Step 4: Simplify right side
    974,637x = 2,268,701,700,841
  5. Step 5: Solve for x
    x = 2,268,701,700,841/974,637
  6. Step 6: Final answer
    x = 2,327,740.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.