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Finding the Third Proportional to 1,776,428 and 2,564,043

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Solution

The third proportional to 1,776,428 and 2,564,043 is: 3,700,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,428 : 2,564,043 = 2,564,043 : x
  2. Step 2: Convert to fraction form
    1,776,428/2,564,043 = 2,564,043/x
  3. Step 3: Cross multiply
    1,776,428x = 2,564,043 × 2,564,043
  4. Step 4: Simplify right side
    1,776,428x = 6,574,316,505,849
  5. Step 5: Solve for x
    x = 6,574,316,505,849/1,776,428
  6. Step 6: Final answer
    x = 3,700,862.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.