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Finding the Third Proportional to 575,710,701 and 841,974,312

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Solution

The third proportional to 575,710,701 and 841,974,312 is: 1,231,383,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,710,701 : 841,974,312 = 841,974,312 : x
  2. Step 2: Convert to fraction form
    575,710,701/841,974,312 = 841,974,312/x
  3. Step 3: Cross multiply
    575,710,701x = 841,974,312 × 841,974,312
  4. Step 4: Simplify right side
    575,710,701x = 708,920,742,067,873,280
  5. Step 5: Solve for x
    x = 708,920,742,067,873,280/575,710,701
  6. Step 6: Final answer
    x = 1,231,383,646.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.