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Finding the Third Proportional to 974,752 and 1,506,383

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Solution

The third proportional to 974,752 and 1,506,383 is: 2,327,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,752 : 1,506,383 = 1,506,383 : x
  2. Step 2: Convert to fraction form
    974,752/1,506,383 = 1,506,383/x
  3. Step 3: Cross multiply
    974,752x = 1,506,383 × 1,506,383
  4. Step 4: Simplify right side
    974,752x = 2,269,189,742,689
  5. Step 5: Solve for x
    x = 2,269,189,742,689/974,752
  6. Step 6: Final answer
    x = 2,327,966.23

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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.