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Finding the Third Proportional to 974,569 and 1,506,140

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Solution

The third proportional to 974,569 and 1,506,140 is: 2,327,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,569 : 1,506,140 = 1,506,140 : x
  2. Step 2: Convert to fraction form
    974,569/1,506,140 = 1,506,140/x
  3. Step 3: Cross multiply
    974,569x = 1,506,140 × 1,506,140
  4. Step 4: Simplify right side
    974,569x = 2,268,457,699,600
  5. Step 5: Solve for x
    x = 2,268,457,699,600/974,569
  6. Step 6: Final answer
    x = 2,327,652.22

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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.