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Finding the Third Proportional to 910,656 and 1,315,633.50

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Solution

The third proportional to 910,656 and 1,315,633.50 is: 1,900,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,656 : 1,315,633.50 = 1,315,633.50 : x
  2. Step 2: Convert to fraction form
    910,656/1,315,633.50 = 1,315,633.50/x
  3. Step 3: Cross multiply
    910,656x = 1,315,633.50 × 1,315,633.50
  4. Step 4: Simplify right side
    910,656x = 1,730,891,506,322.25
  5. Step 5: Solve for x
    x = 1,730,891,506,322.25/910,656
  6. Step 6: Final answer
    x = 1,900,708.40

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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.