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Finding the Third Proportional to 935,502 and 1,506,609

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Solution

The third proportional to 935,502 and 1,506,609 is: 2,426,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,502 : 1,506,609 = 1,506,609 : x
  2. Step 2: Convert to fraction form
    935,502/1,506,609 = 1,506,609/x
  3. Step 3: Cross multiply
    935,502x = 1,506,609 × 1,506,609
  4. Step 4: Simplify right side
    935,502x = 2,269,870,678,881
  5. Step 5: Solve for x
    x = 2,269,870,678,881/935,502
  6. Step 6: Final answer
    x = 2,426,366.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.