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Finding the Third Proportional to 1,406,854.50 and 2,863,428

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Solution

The third proportional to 1,406,854.50 and 2,863,428 is: 5,828,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,854.50 : 2,863,428 = 2,863,428 : x
  2. Step 2: Convert to fraction form
    1,406,854.50/2,863,428 = 2,863,428/x
  3. Step 3: Cross multiply
    1,406,854.50x = 2,863,428 × 2,863,428
  4. Step 4: Simplify right side
    1,406,854.50x = 8,199,219,911,184
  5. Step 5: Solve for x
    x = 8,199,219,911,184/1,406,854.50
  6. Step 6: Final answer
    x = 5,828,051.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.