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Finding the Third Proportional to 935,210 and 1,506,089

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Solution

The third proportional to 935,210 and 1,506,089 is: 2,425,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,210 : 1,506,089 = 1,506,089 : x
  2. Step 2: Convert to fraction form
    935,210/1,506,089 = 1,506,089/x
  3. Step 3: Cross multiply
    935,210x = 1,506,089 × 1,506,089
  4. Step 4: Simplify right side
    935,210x = 2,268,304,075,921
  5. Step 5: Solve for x
    x = 2,268,304,075,921/935,210
  6. Step 6: Final answer
    x = 2,425,448.91

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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.