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Finding the Third Proportional to 1,656,861 and 3,574,461

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Solution

The third proportional to 1,656,861 and 3,574,461 is: 7,711,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,861 : 3,574,461 = 3,574,461 : x
  2. Step 2: Convert to fraction form
    1,656,861/3,574,461 = 3,574,461/x
  3. Step 3: Cross multiply
    1,656,861x = 3,574,461 × 3,574,461
  4. Step 4: Simplify right side
    1,656,861x = 12,776,771,440,521
  5. Step 5: Solve for x
    x = 12,776,771,440,521/1,656,861
  6. Step 6: Final answer
    x = 7,711,432.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.