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Finding the Third Proportional to 1,584,428 and 3,421,362

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Solution

The third proportional to 1,584,428 and 3,421,362 is: 7,387,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,428 : 3,421,362 = 3,421,362 : x
  2. Step 2: Convert to fraction form
    1,584,428/3,421,362 = 3,421,362/x
  3. Step 3: Cross multiply
    1,584,428x = 3,421,362 × 3,421,362
  4. Step 4: Simplify right side
    1,584,428x = 11,705,717,935,044
  5. Step 5: Solve for x
    x = 11,705,717,935,044/1,584,428
  6. Step 6: Final answer
    x = 7,387,977.20

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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.