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Finding the Third Proportional to 720,526.64 and 1,547,897.34

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Solution

The third proportional to 720,526.64 and 1,547,897.34 is: 3,325,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,526.64 : 1,547,897.34 = 1,547,897.34 : x
  2. Step 2: Convert to fraction form
    720,526.64/1,547,897.34 = 1,547,897.34/x
  3. Step 3: Cross multiply
    720,526.64x = 1,547,897.34 × 1,547,897.34
  4. Step 4: Simplify right side
    720,526.64x = 2,395,986,186,788.31
  5. Step 5: Solve for x
    x = 2,395,986,186,788.31/720,526.64
  6. Step 6: Final answer
    x = 3,325,326.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.